{ "id": "math/9810097", "version": "v5", "published": "1998-10-15T13:40:36.000Z", "updated": "1999-03-15T08:13:09.000Z", "title": "Blow-ups of canonical singularities", "authors": [ "Yuri G. Prokhorov" ], "comment": "17 pages, LaTeX2e, few errors are corrected", "journal": "In Algebra (Moscow, 1998), pages 301-317. de Gruyter, Berlin, 2000", "categories": [ "math.AG" ], "abstract": "In this paper we apply Shokurov's inductive method to study terminal and canonical singularities. As an easy consequence of the Minimal Model Program we show that for any three-dimensional log terminal singularity there exists some special, so called, plt blow-up. We discuss properties of them and construct some examples.", "revisions": [ { "version": "v5", "updated": "1999-03-15T08:13:09.000Z" } ], "analyses": { "keywords": [ "canonical singularities", "three-dimensional log terminal singularity", "minimal model program", "plt blow-up", "study terminal" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math.....10097P" } } }